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Finding the Fourth Proportional to 321,714.80, 443,966.94 and 178,474.85

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Solution

The fourth proportional to 321,714.80, 443,966.94 and 178,474.85 is: 246,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,714.80 : 443,966.94 = 178,474.85 : x
  2. Step 2: Convert to fraction form
    321,714.80/443,966.94 = 178,474.85/x
  3. Step 3: Cross multiply
    321,714.80x = 443,966.94 × 178,474.85
  4. Step 4: Simplify right side
    321,714.80x = 79,236,930,801.62
  5. Step 5: Solve for x
    x = 79,236,930,801.62/321,714.80
  6. Step 6: Final answer
    x = 246,295.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.